228792600 has 240 divisors, whose sum is σ = 823719600. Its totient is φ = 58786560.

The previous prime is 228792593. The next prime is 228792607. The reversal of 228792600 is 6297822.

It is an interprime number because it is at equal distance from previous prime (228792593) and next prime (228792607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228792607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 469557 + ... + 470043.

It is an arithmetic number, because the mean of its divisors is an integer number (3432165).

Almost surely, 2^228792600 is an apocalyptic number.

228792600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228792600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411859800).

228792600 is an abundant number, since it is smaller than the sum of its proper divisors (594927000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228792600 is a wasteful number, since it uses less digits than its factorization.

228792600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 228792600 is about 15125.8917092514. The cubic root of 228792600 is about 611.6185627749.

The spelling of 228792600 in words is "two hundred twenty-eight million, seven hundred ninety-two thousand, six hundred".